Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet

TL;DR

This paper derives the most general curvature squared action in four-dimensional N=2 supergravity with vector multiplets, utilizing the dilaton Weyl multiplet, and encodes it in a single holomorphic prepotential.

Contribution

It introduces a comprehensive curvature squared action in N=2 supergravity using the dilaton Weyl multiplet, expressed through a single holomorphic prepotential, expanding the theoretical framework.

Findings

Derived the general curvature squared action in N=2 supergravity.

Unified the action in a single holomorphic prepotential.

Extended the formulation to include arbitrary vector multiplets.

Abstract

In this paper we derive the most general curvature squared action coupled to an arbitrary number of vector multiplets in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet. The action that we derive is encoded in a single holomorphic prepotential.